I grow okra every spring/summer and have never had 2 stalks come up from 1 seed. If you plan on growing the okra in a 5 gallon pot, that likely won't be big enough. My okra plants routinely get close to 8 ft. tall by summers end and the stalks are almost all 2-3 inches in diameter. When I pull them in September, the root system goes down into the ground at least 18 inches for the main root with tons of side roots growing in all directions.
Jalapenos will do fine in a 5 gallon bucket from my experience and I live in New Orleans. Now, some peppers, like habanero's and Ghost's have huge plants and they would likely be stressed in that size pot. My last habs and ghost pepper plants were at least 4 ft. tall and just as wide. Jalapeno's generally stay a good bit smaller.